Exploring electromagnetic characteristics of the vector and axial-vector $$B_c$$ mesons

Abstract The magnetic moments of the $$B_c$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> mesons provide significant insights into their inner structure and geometric shape. Furthermore, a comprehensive understanding of the electromagnetic characteristics of $$B_c$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> mesons is essential for advancing our knowledge of confinement and heavy flavor effects. In light of this, we proceed to extract the magnetic moments of the ground-state vector and axial-vector $$B_c$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> mesons through the medium of the QCD light-cone sum rules. The magnetic moments of the axial-vector and vector $$B_c$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> mesons are found to be $$\mu _{B_c}= -0.47 \pm 0.07~\mu _N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>μ</mml:mi> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:msub> <mml:mo>=</mml:mo> <mml:mo>-</mml:mo> <mml:mn>0.47</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.07</mml:mn> <mml:mspace/> <mml:msub> <mml:mi>μ</mml:mi> <mml:mi>N</mml:mi> </mml:msub> </mml:mrow> </mml:math> , and $$\mu _{B_c}= 0.15 \pm 0.02~\mu _N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>μ</mml:mi> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>0.15</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.02</mml:mn> <mml:mspace/> <mml:msub> <mml:mi>μ</mml:mi> <mml:mi>N</mml:mi> </mml:msub> </mml:mrow> </mml:math> , respectively. A comparison of our results for the vector $$B_c$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> meson with other theoretical predictions has revealed discrepancies between the various predictions, which could prove useful as a complementary tool for interpreting the vector $$B_c$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> meson. The current experimental data set is limited to a small number of observed states of beauty-charm mesons. However, theoretical studies can play a valuable role in elucidating their nature and guiding future experimental investigations.